The formula for the slant height of a cone is t equals StartFraction S minus pi r squared Over pi EndFraction. , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.

Answers

Answer 1

Answer:

275 ft

Step-by-step explanation:

The formula given to use for the slant height l of the cone is ;

l = (s - πr^2)/π

Now substituting the parameters given in the question, 500 π for area and radius of 15, we have

l = {500π-15^(2)π}/π

l =( 500 π -225 π)/π

l = 275 π/π

l = 275 ft

Answer 2

Answer:

275

Step-by-step explanation:

^ and what they said


Related Questions

Plz! Help me will mark brainlest!

Answers

Answer:

she increased rectangle Q by a scale factor of 36 (36 times larger)

Step-by-step explanation:

72/2=36

Urgent! Please help... The point (5, -6) is reflected over the x-axis. The coordinates of reflected point are (_______). A. (5, 6) B. (5, -6) C. (-5, 6) D. (-5, -6)

Answers

Answer:

(5,6)

Step-by-step explanation:

the transformation is a rotation

true or false​

Answers

Answer:

  FALSE

Step-by-step explanation:

The transformation is a reflection across the line x=1.

In order from shortest to longest, the sides of the left triangle are in counterclockwise order. In the right triangle, they are in clockwise order. This indicates a reflection. A rotation does not change the (CW/CCW) orientation of the triangle.

It is False that the transformation is a rotation.

If the sampled population has a mean of 48 and standard deviation of 16, then the mean and the standard deviation for the sampling distribution of x¯ for n = 16 are 4 and 1. 12 and 4. 48 and 4. 48 and 1. 48 and 16.

Answers

Answer:

48 and 4

Step-by-step explanation:

If we assume that [tex]\bar X[/tex] to be the random variable that proceed the normal distribution with mean [tex]\mu[/tex] and  a standard deviation [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]

Given that:

mean =48

standard deviation = 16

sample size = 16

The population mean is same as the population mean in sampling distribution that is 48.

The standard deviation of the sampling distribution is therefore calculated as:

standard deviation = [tex]\dfrac{\sigma }{\sqrt{n}}[/tex]

standard deviation = [tex]\dfrac{16 }{\sqrt{16}}[/tex]

standard deviation = [tex]\frac{16}{4}[/tex]

standard deviation = 4

Thus; the mean and the standard deviation of the sampling distribution is 48 and 4

Which equation is equivalent to logx 36 = 2?​

Answers

Answer:

The answer would be 36^2=x

Step-by-step explanation:

Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer:

$3,000

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A = final amount  =  ?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

[tex]A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\[/tex]

Hence to the nearest hundred we have the account balance has $3,000

Answer:3400

Step-by-step explanation:

0.95 is 1/10 of??? what is the answer

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Multiply it by 10

0.95 x 10 = 9.5

0.95 is 1/10 of 9.5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Please help! If possible answer quickly!

Answers

Answer:

The area of the trapezoid shown above is 660 square inches.

Step-by-step explanation:

It already gives you the formula, so just plug in the numbers given.

[tex]h[/tex] - height (20)

[tex]B_1[/tex] - Base (30)

[tex]B_2[/tex] - Other base (36)

[tex]\frac{1}{2}(20)(30+36)\\\frac{1}{2}(20)(66)\\=660[/tex]

Please answer correctly !!!!!!!!!! Will make brainliest !!!!!!!!!!!!!

Answers

Answer:

33

Step-by-step explanation:

Let's call their ages m and b.

We have:

m = b + 12

m - 17 = 4(b - 17) → m = 4b - 51

b + 12 = 4b - 51

3b = 63

b = 21

m = 21 + 12 = 33

Answer:

33.

Step-by-step explanation:

If Michael's age is x years now then Brandon's age is  x - 12.

17 years ago  Michael was x - 17 years old and this was 4 times  Brandon's age so:

x - 17 = 4(x - 12 - 17)

x - 17 = 4x - 48 - 68

4x - x =  -17 + 48 + 68

3x = 99

x = 33.

So Michael is now 33 years old.

The length of a rectangle is 4 inches more than its width and its perimeter is 34 inches find the length and width of the rectangle if w= the width of the rectangle then the length equals

Answers

Answer:

The length and width of the rectangle are 10.5 in and 6.5 in respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 34 in

L (length of the rectangle) = 4 in + W (width of the rectangle)

Therefore, L = 4 + W

P = 2L + 2W

34 = 2(4 + W) + 2W

34 = 8 + 2W + 2W

34 - 8 = 4W

26 = 4W

W = 26/4 = 6.5 in

L = 4 + W = 4 + 6.5 = 10.5 in

L = 10.5 in

W = 6.5 in

how to solve triangles using the law of sines?

Answers

Answer:?

The following list shows how many brothers and sisters some students have:

2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4

State the mode.

Step-by-step explanation:

To solve a triangle using sine you must use the following equation:

SinØ=opposite /hypotenuse

The Ø is the angle of which looking from.
Hope this is what you were looking for.

what is the fastest thing in the world

Answers

Answer:

The Speed Of Light

Step-by-step explanation:

The fastest thing in the world is the speed of light

y = 1 2 x − 4 desmos

Answers

Answer:

The equation is in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

y = 12x - 4

m = 12

b = -4

Plz solve this question .


the volume of cylindrical object 539cm
and the circumference of the base of
the cylinder is 22 cm.find its height.

Answers

Answer:

The cylinder's height is 14 cm

Step-by-step explanation:

Recall that the formula for the volume of a cylinder is given by:

[tex]Volume=\pi\,R^2\,\,H[/tex]

where R is the radius of the cylinder's base, and H the cylinder's height (which we we don't know and need to find)

In order to use this formula to solve for our unknown we need to obtain the radius "R" by using the second piece of information on the length of the base's circumference (22 cm). Recall the formula for the length of a circumference of radius R:

[tex]length=2\,\pi\,\,R[/tex]

Then, in our case:

[tex]length=2\,\pi\,\,R\\22=2\,\pi\,\,R\\R=\frac{22}{2\,\pi} \\R=3.50\,\,cm[/tex]

We now use this information in the volume equation to find the cylinder's height:

[tex]Volume=\pi\,R^2\,\,H\\539\,\,cm^3=\,pi\,(3.5\,\,cm)^2\,\,H\\H=\frac{539}{\pi\,12.25} \,cm\\H=14.0 \,cm[/tex]

What is the value of x?

Answers

Answer:

30

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 anddthan 180-150 = 30

Answer:

30

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 and then 180-150 = 30

What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?

Answers

Answer:

7

Step-by-step explanation:

3x- 1/9y = 18

value of x when y is 27

3x- 1/9*27 = 18

3x- 3 = 18

3x = 18 + 3

3x = 21

x= 21/3

x = 7

Hope this helps you!

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

1/3 divided 8/9 I wan kno the answer

Answers

The answer should be 3/8. Hope this helps.

Which of the following best describes the delian problem?

A. It is the famous impossible greek antiquity

B. It was the first known problem solved by the greens using a straightedge and compass

C. It involves increasing the segment length by one third repeatedly

D. It involves the use of a flat plane in spherical geometry

Answers

Answer: B

Step-by-step explanation:Because I tried every other answer can I found out that B was right

The first known problem solved by the greens using a straightedge and compass. Then the correct option is B.

What is the Delian problem?

The DELIAN PROBLEM is a mathematical term that refers to the challenge of estimating the quantity dual of a given cube's edge.

It was the first known problem solved by the greens using a straightedge and compass.

Then the correct option is B.

More about the Delian problem link is given below.

https://brainly.com/question/23639928

#SPJ2

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Step-by-step explanation:

x2 + 10x + 24

x2 + 6x + 4x + 24

x(x + 6) + 4(x + 6)

(x + 6) (x + 4)

Step-by-step explanation:

see the attachement....

A triangle has the coordinates
A(4, -1), B(3, -3), and C(0, 2).
Reflect the triangle over the y-axis and find the coordinates of its image.
A(4, -1) - AU
B(3,-3) - BO
C(0, 2) - C'e
-od

Answers

Answer:

coordinates of its image

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Step-by-step explanation:

Reflect in y-axis means mirror it's points in the y -axis.

This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.

(Remember, zero multiplied by -1 remains 0).

Given are these points A, B, and C.

A = (4, -1)

B = (3,-3)

C = (0, 2)

After mirroring in the y- axis you get:

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

x^2+4x+4=x²+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

=(x+2)²

side length=x+2 meters

√x =a solve for x
please help I need the answer ASAP.​

Answers

Answer: 2

Step-by-step explanation:

Answer:

x = a²

Step-by-step explanation:

To undo the square root, you have to square both sides of the equation so it becomes...

(√x )² = a²

That undoes the square soot so it is

x = a²


what are the properties ?
Line 1: (-7x+3)+2x
Line 2: (3+(-7x))+2x
Line 3: 3+(-7x+2x)
Line 4: 3+(-5x)​

Answers

Step-by-step explanation:

line number                    Property

Line 1: (-7x+3)+2x            associative (gathering -7x and 3)

Line 2: (3+(-7x))+2x.        Commutative (change the positions of 3 and -7x)

Line 3: 3+(-7x+2x).          associatI’ve

Line 4: 3+(-5x)

Alice earns £450 in wages per month. She pays £200 in rent per month. Next month, • her wages will increase by 2% • her rent will increase by 5% She says “The increase in my wages will pay for the increase in my rent” Is she correct? You must show your working.

Answers

Step-by-step explanation:

Wages

£450

450 x 1.02 = 459

Rent

£200

200 x 1.05 = 210

wages increases by £9

rent increases by £10

No the increase in her wages will not fully pay for the increase in the rent

Find the value of x. x+35 4x

Answers

141x but idk if you are multiplying the 4x but I did

Please help! Correct answer only please!


Mike recently increased the size of his truck tires from 26.16 inches to 28.95 inches. If mike didn't re-calibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?


Group of answer choices


A. 54.2 mph


B. 63.8 mph


C. 66.4 mph


D. 69.7 mph

Answers

Answer:

C. 66.4 mph

Step-by-step explanation:

∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,

If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,

⇒ The ratio of speed and circumference = \frac{x}{2\pi (14)}

( Because radius = Diameter / 2 ),

While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,

⇒ The ratio of speed and circumference = \frac{60}{2\pi (12.5)}

By the above statement,

\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}

\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67

So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )

Hence, option 'C' is correct.

Step-by-step explanation:

12/6x + 45 =-27 solve for x

Answers

Answer:

Step-by-step explanation:12/6x=-27-45

12/6x=-72

12=-72×6x

12=-432x

12/-432=x

X= -1/36

Alguien me puede explicar los binomios en matematica, porfavor :)

Answers

Answer: SEE EXPLANATION (en ingles)

Step-by-step explanation:

A binomial is an algebraic expression of the sum or the difference of two terms.  

En espanol: Un binomio es una expresión algebraica de la suma o la diferencia de dos términos.

Based on the law of syllogism, which conclusion can be drawn from the true conditional statements below?

If a number is a whole number, then it is an integer.

If a number is an integer, then it is a rational number.

If a number is a rational number, then it is a whole number.
If a number is a rational number, then it is an integer.
If a number is a whole number, then it is a rational number.
If a number is an integer, then it is not a whole number.

Answers

Answer:

c

Step-by-step explanation:

The true statement can be

If a number is a whole number, then it is a rational number.

what are law of syllogism?

The Law of Syllogism says that if the following two statements are true:

(1) If p , then q .

(2) If q , then r .

Then we can derive a third true statement: (3) If p , then r .

we have given that

If a number is a whole number, then it is an integer.

If a number is an integer, then it is a rational number.

So, using the law of syllogism the true statement can be

If a number is a whole number, then it is a rational number.

Learn more about law of syllogism here:

https://brainly.com/question/11306409

#SPJ2

The parallelograms with opposite sides equal and diagonals
equal are _________ and _____________

Answers

Answer:

Step-by-step explanation:

rectangle and square

mark me as the brainliest pls..

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